Results 51 to 60 of about 198 (75)
Singularity categories via McKay quivers with potential
In 2018, Kalck and Yang showed that the singularity categories associated with 3-dimensional Gorenstein quotient singularities are triangle equivalent (up to direct summands) to small cluster categories associated with McKay quivers with potential.
Liu, Junyang
core
Triangulated characterizations of singularities
This work presents a range of triangulated characterizations for important classes of singularities such as derived splinters, rational singularities, and Du Bois singularities.
Lank, Pat, Venkatesh, Sridhar
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Several results on exact sequences in categories of modules over trusses
Categorical aspects of the theory of modules over trusses were studied in recent years. The snake lemma and the nine lemma in categories of modules over trusses are formulated in this paper.Comment: arXiv admin note: text overlap with arXiv:2006.16624,
He, Jian +3 more
core
Let ($S, \mathfrak{n})$ be a commutative noetherian local ring and let $\omega\in\mathfrak{n}$ be non-zero divisor. This paper is concerned with the category of monomorphisms between finitely generated Gorenstein projective S-modules, such that their ...
Bahlekeh, Abdolnaser +3 more
core
Minimal semiinjective resolutions in the $Q$-shaped derived category
Injective resolutions of modules are key objects of homological algebra, which are used for the computation of derived functors. Semiinjective resolutions of chain complexes are more general objects, which are used for the computation of $\operatorname ...
Holm, Henrik, Jorgensen, Peter
core
Universal support for triangulated categories [PDF]
Pablo Sanchez Ocal, Paul Balmer
core +1 more source
Some of the next articles are maybe not open access.
On the Existence of Auslander-Reiten $(d+2)$-angles in $(d+2)$-angulated Categories
Taiwanese Journal of Mathematics, 2021Panyue Zhou
exaly
Torsion pairs and recollements of extriangulated categories
Communications in Algebra, 2022Yonggang Hu, Panyue Zhou
exaly